LookupFunctionsShowcase of lookup-functions |
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Diagram
Information
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This example demonstrates the use of parametric lookup and table functions in models and may serve as a showcase. While table functions are still frequently used, the advantage of parametric functions is their smoothness—at least in the relevant range—and the better calibration/identification options.
See also
Parameters (12)
| slope1To50 |
Value: 2 Type: Real Description: Slope parameter (general) |
|---|---|
| slope |
Value: slope1To50 Type: Real Description: Determines the gradient of the curve (Janoschek and S-Shaped) |
| slopeUpTo1 |
Value: 0.5 Type: Real Description: Slope parameter (0< slope <= 1) (concaveLookupPosisitve) |
| interceptUpward |
Value: 0. Type: Real Description: Value of y when input is zero or less (y0) for upward sloping functions |
| interceptDownward |
Value: 2. Type: Real Description: Value of y when input is zero or less (y0) for downward sloping functions |
| upperBound |
Value: 2 Type: Real Description: Upper asymptote for u <= 0 (upperBound > lowerBound) (Janoschek and S-Shaped) |
| lowerBound |
Value: 0 Type: Real Description: Lower asymptote for u -> infinity (Janoschek) |
| x_ref |
Value: 1 Type: Real Description: x-value for point of inflection(>0) (Janoschek) |
| y_ref |
Value: 1 Type: Real Description: y-value for point of inflection(lowerBound < y_ref < upperBound) (Janoschek) |
| table |
Value: {{0, 0}, {2, 4}, {4, 6}, {6, 8}} Type: Real[:,:] Description: Table matrix (grid = first column; e.g., table=[0,2]) (combiTable1D.table) (tableFunction.table) |
| smoothness |
Value: Modelica.Blocks.Types.Smoothness.LinearSegments Type: Smoothness Description: Smoothness of table interpolation (tableFunction.smoothness) |
| extrapolation |
Value: Modelica.Blocks.Types.Extrapolation.HoldLastPoint Type: Extrapolation Description: Extrapolation of data outside the definition range (combiTable.extrapolation) (tableFunction.extrapolation) |
Connectors (1)
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modelOutput |
Type: ModelOutput Description: The main model output |
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Components (12)
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modelSettings |
Type: ModelSettings Description: Setting important global variables within a model |
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'0..10' |
Type: RampInput Description: Ramp from 0 to 10 in 10 units of time |
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'-5..5' |
Type: RampInput Description: Ramp from -5 to 5 in 10 units of time |
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concaveLookupNegative |
Type: ConcaveLookupNegative Description: Concave Lookup with negative slope; fixpoints are (0,y0) and (1,0) |
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concaveLookupPositive |
Type: ConcaveLookupPositive Description: Concave Lookup with positive slope; fixpoints are (0,y0) and (1,1) |
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convexLookupNegative |
Type: ConvexLookupNegative Description: Convex Lookup with negative slope usually defined for the range [0,∞) passing through the fixpoint (1,1) |
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convexLookupPositive |
Type: ConvexLookupPositive Description: Convex Lookup with positive slope; usually with fixpoint (0,y0) and fixpoint (1,1) |
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janoschek_negative_x_y |
Type: JanoschekNegative Description: Janoschek's (S-shaped) growth curve with negative slope |
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janoschek_positive_x_y |
Type: JanoschekPositive Description: Janoschek's (S-shaped) growth curve with positive slope |
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sShapedNegative_origin |
Type: SShapedNegative Description: Symmettric S-shaped curve with negative slope around origin (0,0) |
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sShapedPositive_origin |
Type: SShapedPositive Description: Symmettric S-shaped curve with positive slope around origin (0,0) |
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tableFunction |
Type: TableFunction Description: Table function defined by external data on file using Modelica's CombiTable format |
Revisions
- Modified simulation plots in v2.0.0.